ABSTRACT
Throughout all the Newtonian distractions of the calculus dispute and the demands of his teaching, De Moivre continued to work on his own mathematical research that was carried out along four broad, and sometimes interrelated, lines. His results in celestial mechanics, which began with his work on centripetal forces in 1705, saw some further development. Although the publication, finally, of Newton’s early work on quadrature was far-reaching with seemingly little left to do in the area, De Moivre carried out some additional minor work on the quadrature of a particular curve. With hints of it in De Mensura Sortis and certainly with his early work anticipating Taylor series expansions that he had communicated to Johann Bernoulli in 1708, he began to expand his interests in the area of infinite series. And, of course, his interests in the theory of probability developed more deeply.
